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Zbl 1093.34520
He, Ji-Huan
Limit cycle and bifurcation of nonlinear problems.
(English)
[J] Chaos Solitons Fractals 26, No. 3, 827-833 (2005). ISSN 0960-0779

The author considers the following nonlinear equation $$\ddot x+ x+ \varepsilon f(x,\dot x,\ddot x)= 0,\tag1$$ where the parameter $\varepsilon$ needs not to be small. The goal of the paper is to find limit cycles of (1) and bifurcation curves. To this end, the author proposes a simple but effective method.
[Messoud A. Efendiev (Berlin)]
MSC 2000:
*34C05 Qualitative theory of some special solutions of ODE
34C23 Bifurcation (periodic solutions)

Keywords: limit cycles; bifurcation curves; nonlinear problems

Cited in: Zbl 1163.34355

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